• 제목/요약/키워드: Green's function

검색결과 531건 처리시간 0.023초

Positive Solutions of Nonlinear Neumann Boundary Value Problems with Sign-Changing Green's Function

  • Elsanosi, Mohammed Elnagi M.
    • Kyungpook Mathematical Journal
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    • 제59권1호
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    • pp.65-71
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    • 2019
  • This paper is concerned with the existence of positive solutions of the nonlinear Neumann boundary value problems $$\{u^{{\prime}{\prime}}+a(t)u={\lambda}b(t)f(u),\;t{\in}(0,1),\\u^{\prime}(0)=u^{\prime}(1)=0$$, where $a,b{\in}C[0,1]$ with $a(t)>0,\;b(t){\geq}0$ and the Green's function of the linear problem $$\{u^{{\prime}{\prime}}+a(t)u=0,\;t{\in}(0,1),\\u^{\prime}(0)=u^{\prime}(1)=0$$ may change its sign on $[0,1]{\times}[0,1]$. Our analysis relies on the Leray-Schauder fixed point theorem.

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A SINGULAR SYSTEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS

  • Wang, Lin;Lu, Xinyi
    • Journal of applied mathematics & informatics
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    • 제31권5_6호
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    • pp.877-894
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    • 2013
  • In this paper, we study the existence and uniqueness of solutions for a singular system of nonlinear fractional differential equations with integral boundary conditions. We obtain existence and uniqueness results of solutions by using the properties of the Green's function, a nonlinear alternative of Leray-Schauder type, Guo-Krasnoselskii's fixed point theorem in a cone. Some examples are included to show the applicability of our results.

공간영역 Green 함수의 복소영상법과 혼합 복소영상법에 관한 연구 (A Study on Complex Image Method and hybrid CIM for Spatial Domain Green Function)

  • 김상진;김영식;천창율
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 E
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    • pp.1831-1833
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    • 1998
  • In this paper, A complex-image method(CIM) and efficient numerical integration algorithm is implemented to evaluate the spatial-domain Green's function through the Sommerfeld-type integral with a thick substrate. CIM is compared to numerical integration technique.

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주파수 영역 Green 함수와 모멘트법을 이용한 유전체 평판 부착 다이폴 안테나의 특성해석 (Analysis of a Dipole Antenna Attached on a Dielectric Slab Using a Spectral-Domain Green's Function and the Method of Moments)

  • 오이석
    • 한국통신학회논문지
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    • 제21권10호
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    • pp.2703-2709
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    • 1996
  • This paper proposes an exact numerical method for analyzing a dipole antenna attached on a dielectric slab. A Green's function for an infinitesimal current filament on a dielectric slab is derived and a field integral equation is formulated using a boundary condition. The moment Method is used to solve the field integral equation to otain current distribution on the antenna. Since an asymptotic function is used to compute the impedance matrix elements, the computataion time is significantly reduced. Using the computed current distributions, the input impedances, the resonance lengths and the resonant resistances of the antennas for various values of the thichnessandthe dielectric constant of the slab are obtained. It was found that the resonant length and the resonant resistance are decrease monotonically as the dielectric constant increases, however, those are changed up-and-down as the substrate thickness increases.

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마이크로스트립 구조 해석을 위한 Closed-Form 그린 함수 (Closed-Form Green's Function for the Analysis of Microstrip Structure)

  • 양승우;김성진;김건우;이택경
    • 한국전자파학회논문지
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    • 제19권3호
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    • pp.281-293
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    • 2008
  • 평면형 구조에서 공간 영역 그린 함수를 구하기 위해서는 무한 Sommerfeld 적분을 계산하여야 한다. 무한 적분을 짧은 시간에 계산하기 위한 실수축 적분 방법(real axis integration method)은 주파수와 거리에 대해 넓은 범위에 걸쳐 매우 정확한 방법이지만 관측점의 수지 성분 z가 변하게 되면, 근사의 과정을 반복해야 하는 비효율성과 z가 커질수록 파수 영역 함수의 변화가 심해져 정확한 근사가 어렵다는 단점이 있다. 본 논문에서는 폐루프 적분 경로를 이용하여 파수 영역 함수를 근사화 함으로써 일반적인 마이크로스트립 구조에서 기존의 결과에 비해 정확한 closed-form 그린 함수를 구하는 방법을 제시하였다.

A B-Spline Higher Order Panel Method Applied to the Radiation Wave Problem for a 2-D Body Oscillating on the Free Surface

  • Hong, D.C.;Lee, C.-S.
    • Journal of Ship and Ocean Technology
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    • 제3권4호
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    • pp.1-14
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    • 1999
  • The improved Green integral equation using the Kelvin-type Green function in known free of irregular frequencies where the integral over the inner free surface integral is removed from the integral equation, resulting in an overdetermined integral equation. The solution of the overdetermined Green integral equation is shown identical with the solution of the improved Green integral equation Using the B-spline higher order panel method, the overdetermined equation is discretized in two different ways; one of the resulting linear system is square and the other is redundant. Numerical experiments show that the solutions of both are identical. Using the present methods, the exact values and higher derivatives of the potential at any place over the wetted surface of the body can be found with much fewer panels than low order panel method.

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실내공간에서의 그린 어메니티 스페이스 디자인 기준에 관한 연구 (A Study on the Design Standard of Green Amenity Space in Interior Space)

  • 한영호;김준연
    • 한국실내디자인학회논문집
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    • 제28호
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    • pp.51-59
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    • 2001
  • This Study tried to approach with a new Point of view about Green Design that had been studied on just Aesthetics and Function and it focused on creating a pleasant environment In the Interiors combing with Horticultural therapy as advanced study in Green Design. This study is barred on understanding that nature, human and space should continue to coexist through realizing relationship between nature and human and overcoming denaturalization and dehumanization and have an opportunity to know what a pleasant space for human is. Although pleasant space can be made by many different methods, this study start from the thought that a space with plants is the best to satisfy human's basic emotion. The method of study is through research and analysis with many kinds of references and examples, and then the results were used to make design guide which introduces Green Amenity Space in residential space. The pleasant space that human pursuits should be the human-centered space as well as the space giving them mental and physical satisfaction beyond space with just function and beauty. Therefore Green Amenity Space is the best space with which human is familiar.

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열피로 해석시 응력전달함수에 미치는 열적 재료 성질의 영향 (Effect of Thermophysical Properties on Stress Transfer Function ofr Thermal Fatigue Analysis)

  • 김영진;석창성;박종주
    • 대한기계학회논문집A
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    • 제20권1호
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    • pp.172-179
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    • 1996
  • For mechanical systems operating at high tempertature, thermal fatigue phenomenon has been recognized as a major cause of mechanical component failures. To evaluate cumulative fatigue damage as a conesquence of thermal fatugue on real time, the stress tranfer function(Green's function) approach is popularly used. The objective of this paper is to investigate the effect of thermophsical properties on the stress tranfer function. For this purpose a modified Green's function approach considering temperature-dependent thermophysical properties is proposed. Two case studies were performed and the proposed approach agrees well with full finite element analysis.

積層材料의 熱擴散係數測定을 위한 軸對稱 二次元 熱擴散方程式의 解析 (An Analysis of Axisymmetric Two Dimensional Heat Diffusion Equation to Measure the Thermal Diffusivity of Layered Materials)

  • 김진원;이흥주
    • 대한기계학회논문집
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    • 제10권3호
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    • pp.349-356
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    • 1986
  • 본 논문에서는 열손실에 의한 오차를 배제하기 위하여 원판형시편의 전후면에 서의 열손실과 반경방향의 열손실을 고려하고 2층으로 된 적층재료의 열확산방정식을 Green함수를 이용하여 해석하므로서 피복재료들의 열물성치를 정확하게 측정하기 위한 임의의 축대칭 열원의 펄스를 사용하여 열손실 및 펄스시간의 효과에 의한 오차를 최 소화 할 수 있는 방법을 제시 하고자 한다.